Greatest Common Factor of 996/88, 180/6502

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 996/88, 180/6502

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 996/88,180/6502

Given fractions are 996/88,180/6502

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 996,180

Greatest Common Factor of Numerators i.e. GCF of 996,180 is 12 .

LCM of Denominators means LCM of 88,6502 as per the given fractions.

LCM of 88,6502 is 286088 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 996,180

GCF of Fractions 996/88,180/6502 is 12/286088

2 996, 180
2 498, 90
3 249, 45
83, 15

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 996,180 By Matching Biggest Common Factor Method

Greatest Common Factor of 996,180 By Matching Biggest Common Factor Method

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Greatest Common Factor

We found the factors 996,180 . The biggest common factor number is the GCF number.
So the greatest common factor 996,180 is 12.

Lets's calculate LCM of 88,6502

2 88, 6502
44, 3251

∴ So the LCM of the given numbers is 2 x 44 x 3251 = 286088

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/286088

Therefore, the GCF of Fractions 996/88,180/6502 is 12/286088

Least Common Multiple of 88,6502 with GCF Formula

Least Common Multiple of 88,6502 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 88,6502 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,6502) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(88,6502) x common factors =2 x 1 = 2

LCM(88,6502) = ( 88 × 6502 ) / 2

LCM(88,6502) = 572176 / 2

LCM(88,6502) = 286088


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 996/88, 180/6502

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 996/88, 180/6502?

Answer: GCF of Numerators as per given numbers 996/88, 180/6502 is

GCF of Numerators i.e. for 996,180 is 12

LCM of denominators i.e. for 88,6502 is 286088.

Thus, GCF of Fractions is 12/286088.Finally, GCF of Fractions for 996/88, 180/6502 is 12/286088.